Cover for Calculus and its Applications

Calculus and its Applications

Book1963

Authors:

P. Mainardi and H. Barkan

Calculus and its Applications

Book1963

 

Cover for Calculus and its Applications

Authors:

P. Mainardi and H. Barkan

About the book

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Book description

Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entitie ... read full description

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  2. Book chapterAbstract only

    CHAPTER I - FUNDAMENTAL IDEAS

    Pages 1-55

  3. Book chapterAbstract only

    CHAPTER II - DERIVATIVE

    Pages 56-80

  4. Book chapterAbstract only

    CHAPTER III - DIFFERENTIATION AND APPLICATIONS

    Pages 81-106

  5. Book chapterAbstract only

    CHAPTER IV - HIGHER ORDER DERIVATIVES

    Pages 107-118

  6. Book chapterAbstract only

    CHAPTER V - DIFFERENTIATION OF THE TRIGONOMETRIC FUNCTIONS

    Pages 119-133

  7. Book chapterAbstract only

    CHAPTER VI - EXPONENTIAL AND LOGARITHMIC FUNCTIONS

    Pages 134-145

  8. Book chapterAbstract only

    CHAPTER VII - DIFFERENTIALS AND PARAMETRIC EQUATIONS

    Pages 146-169

  9. Book chapterAbstract only

    CHAPTER VIII - VECTORS

    Pages 170-179

  10. Book chapterAbstract only

    CHAPTER IX - ANTI-DIFFERENTIATION

    Pages 180-195

  11. Book chapterAbstract only

    CHAPTER X - SEPARABLE DIFFERENTIAL EQUATIONS

    Pages 196-209

  12. Book chapterAbstract only

    CHAPTER XI - DEFINITE INTEGRAL

    Pages 210-237

  13. Book chapterAbstract only

    CHAPTER XII - APPLICATIONS OF THE DEFINITE INTEGRAL

    Pages 238-268

  14. Book chapterAbstract only

    CHAPTER XIII - ADDITIONAL APPLICATIONS OF THE DEFINITE INTEGRAL

    Pages 269-312

  15. Book chapterAbstract only

    CHAPTER XIV - TECHNIQUE OF INTEGRATION

    Pages 313-333

  16. Book chapterAbstract only

    CHAPTER XV - APPROXIMATE INTEGRATION

    Pages 334-343

  17. Book chapterAbstract only

    CHAPTER XVI - SOLID ANALYTIC GEOMETRY

    Pages 344-382

  18. Book chapterAbstract only

    CHAPTER XVII - MULTIPLE INTEGRALS

    Pages 383-404

  19. Book chapterAbstract only

    CHAPTER XVIII - INFINITE SERIES

    Pages 405-439

  20. Book chapterAbstract only

    CHAPTER XIX - DIFFERENTIATION OF FUNCTIONS OF SEVERAL VARIABLES

    Pages 440-457

  21. Book chapterAbstract only

    CHAPTER XX - DIFFERENTIAL EQUATIONS

    Pages 458-474

  22. Book chapterNo access

    TABLE OF INTEGRALS

    Pages 475-482

  23. Book chapterNo access

    TRIGONOMETRIC FUNCTIONS

    Pages 483-500

  24. Book chapterNo access

    ANSWERS TO ODD-NUMBERED PROBLEMS

    Pages 501-531

  25. Book chapterNo access

    INDEX

    Pages 532-537

About the book

Description

Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums. Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots. This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.

Calculus and its Applications provides information pertinent to the applications of calculus. This book presents the trapping technique in defining geometrical and physical entities that are usually regarded as limits of sums. Organized into 20 chapters, this book begins with an overview of the notion of average speed that seems to appear first as a qualitative concept. This text then presents the concepts of external and internal parameters to increase the appreciation of parametric functions. Other chapters consider separable differential equations with more detail than usual with their suitability in describing physical laws. This book discusses as well the study of variable quantities whose magnitude is determined by the magnitudes of several other variables. The final chapter deals with a homogeneous differential equation and auxiliary equations consisting imaginary roots. This book is a valuable resource for mathematicians and students. Readers whose interests span a variety of fields will also find this book useful.

Details

ISBN

978-1-4831-6812-8

Language

English

Published

1963

Copyright

Copyright © 1963 Elsevier Inc. All rights reserved.

Imprint

Pergamon

Authors

P. Mainardi

Department of Mathematics, Newark College of Engineering, Newark, New Jersey

H. Barkan

Department of Mathematics, Newark College of Engineering, Newark, New Jersey